Year: 2025
Type: article
Abstract: Le Donne and the author introduced the so-called intrinsically Lipschitz sections of a fixed quotient map π in the context of metric spaces. Moreover, the author introduced the concept of intrinsic Cheeger energy when the quotient map is also linear. In this note we investigate about the no-linearity of π. In particular, we find a Leibniz formula for the intrinsic slope when π satisfies a weaker condition. After that, we focus our attention on Carnot groups and using the properties of intrinsic dilations we show that the dilation of a Lipschitz section is so too.
Author: Daniela Di Donato
Institution: University of Pavia
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412466936